Shock reflection for the damped P-system
Hsiao, L; Li, HL
AbstractThe global existence and the asymptotic behavior of the weak entropy solution, the piecewise smooth solution with one shock discontinuity, on a strip domain is investigated in the present paper. We show that, for small smooth initial data and boundary value with only one small jump at (x, t) = (0, 0), the piecewise smooth solution with one shock discontinuity exists globally in time. The shock discontinuity begins from (x, t) = (0, 0), moves forward and reflects in a finite time at the boundary x = 1 to form a I-shock, which goes backward and reflects at x = 0 also in a finite time to create a new 2-shock. The shock strength decays exponentially and never disappears in finite time. As t --> infinity, this solution converges to a constant state determined by the initial and the boundary conditions.
Keyworddamped P-system shock reflection asymptotic behavior decay rates
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000177129700003
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Document Type期刊论文
Corresponding AuthorHsiao, L
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
3.SISSA, I-34014 Trieste, Italy
Recommended Citation
GB/T 7714
Hsiao, L,Li, HL. Shock reflection for the damped P-system[J]. QUARTERLY OF APPLIED MATHEMATICS,2002,60(3):437-460.
APA Hsiao, L,&Li, HL.(2002).Shock reflection for the damped P-system.QUARTERLY OF APPLIED MATHEMATICS,60(3),437-460.
MLA Hsiao, L,et al."Shock reflection for the damped P-system".QUARTERLY OF APPLIED MATHEMATICS 60.3(2002):437-460.
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